137129418400
137,129,418,400 is an even composite number composed of five prime numbers multiplied together.
137129418400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 137129418400:
25 × 52 × 13 × 473 × 127
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 47 × 47 × 47 × 127)See below for interesting mathematical facts about the number 137129418400 from the Numbermatics database.
Names of 137129418400
- Cardinal: 137129418400 can be written as One hundred thirty-seven billion, one hundred twenty-nine million, four hundred eighteen thousand, four hundred.
Scientific notation
- Scientific notation: 1.371294184 × 1011
Factors of 137129418400
Divisors of 137129418400
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 40 47 50 52 65 80 94 100 104 127 130 160 188 200 208 235 254 260 325 376 400 416 470 508 520 611 635 650 752 800 940 1016 1040 1175 1222 1270 1300 1504 1651 1880 2032 2080 2209 2350 2444 2540 2600 3055 3175 3302 3760 4064 4418 4700 4888 5080 5200 5969 6110 6350 6604 7520 8255 8836 9400 9776 10160 10400 11045 11938 12220 12700 13208 15275 16510 17672 18800 19552 20320 22090 23876 24440 25400 26416 28717 29845 30550 33020 35344 37600 41275 44180 47752 48880 50800 52832 55225 57434 59690 61100 66040 70688 77597 82550 88360 95504 97760 101600 103823 110450 114868 119380 122200 132080 143585 149225 155194 165100 176720 191008 207646 220900 229736 238760 244400 264160 280543 287170 298450 310388 330200 353440 387985 415292 441800 459472 477520 488800 519115 561086 574340 596900 620776 660400 717925 775970 830584 883600 918944 955040 1038230 1122172 1148680 1193800 1241552 1320800 1349699 1402715 1435850 1551940 1661168 1767200 1939925 2076460 2244344 2297360 2387600 2483104 2595575 2699398 2805430 2871700 3103880 3322336 3647059 3879850 4152920 4488688 4594720 4775200 5191150 5398796 5610860 5743400 6207760 6748495 7013575 7294118 7759700 8305840 8977376 10382300 10797592 11221720 11486800 12415520 13185521 13496990 14027150 14588236 15519400 16611680 18235295 20764600 21595184 22443440 22973600 26371042 26993980 28054300 29176472 31038800 33742475 36470590 41529200 43190368 44886880 52742084 53987960 56108600 58352944 62077600 65927605 67484950 72941180 83058400 91176475 105484168 107975920 112217200 116705888 131855210 134969900 145882360 171411773 182352950 210968336 215951840 224434400 263710420 269939800 291764720 329638025 342823546 364705900 421936672 527420840 539879600 583529440 659276050 685647092 729411800 857058865 1054841680 1079759200 1318552100 1371294184 1458823600 1714117730 2109683360 2637104200 2742588368 2917647200 3428235460 4285294325 5274208400 5485176736 6856470920 8570588650 10548416800 13712941840 17141177300 27425883680 34282354600 68564709200 137129418400
- Sum of all divisors σ(n): 371256238080
- Sum of proper divisors (its aliquot sum) s(n): 234126819680
- 137129418400 is an abundant number, because the sum of its proper divisors (234126819680) is greater than itself. Its abundance is 96997401280
Bases of 137129418400
- Binary: 11111111011011000110011011110101000002
- Hexadecimal: 0x1FED8CDEA0
- Base-36: 1QZVBCF4
Squares and roots of 137129418400
- 137129418400 squared (1371294184002) is 18804477390722258560000
- 137129418400 cubed (1371294184003) is 2578647047905692872267221504000000
-
The
square root of 137129418400 is 370309.8950878845 -
The
cube root of 137129418400 is 5156.7595081655
Scales and comparisons
How big is 137129418400?- 137,129,418,400 seconds is equal to 4,360 years, 15 weeks, 1 day, 1 hour, 6 minutes, 40 seconds.
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To count from 1 to 137,129,418,400 would take you about eight thousand, seven hundred twenty years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 137129418400 cubic inches would be around 429.7 feet tall.
Recreational maths with 137129418400
- 137129418400 backwards is 004814921731
- 137129418400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 137129418400's digits is 40
- More coming soon!
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